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3 years ago

Who can do it for me ????

Mathematics

1 answer:

Vikki [24]3 years ago

7 0

Step-by-step explanation:

In the picture above.

Number 2 I suppose that as a straight line

so , it becomes easy to solve for y angle.

I hope that it's a clear solution.

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About one eighth of the population is left-handed. In what size school would you expect to find about 50 left-handed students?

Juliette [100K]

Answer:

400 students, 1/8 are left handed

Step-by-step explanation:

3 0

1 year ago

An individual needs a daily supplement of at least 464 units of vitamin C and 252 of vitamin E and agrees to obtain this supplem

hichkok12 [17]

Answer:

z (min) = 705

x₁ = 10

x₂ = 9

Step-by-step explanation:

Let´s call x₁ quantity of food I ( in ou ) and x₂ quantity of food II ( in ou)

units of vit. C units of vit.E Cholesterol by ou

x₁ 32 9 48

x₂ 16 18 25

Objective function z

z = 48*x₁ + 25*x₂ To minimize

Subject to:

1.-Total units of vit. C at least 464

32*x₁ + 16*x₂ ≥ 464

2.- Total units of vit. E at least 252

9*x₁ + 18*x₂ ≥ 252

3.- Quantity of ou per day

x₁ + x₂ ≤ 35

General constraints x₁ ≥ 0 x₂ ≥ 0

Using the on-line simplex method solver (AtoZmaths) and after three iterations the solution is:

z (min) = 705

x₁ = 10

x₂ = 9

5 0

3 years ago

Prove that sec^4 (x)=1+2 tan^2 (x)+tan^4 (x)

IgorC [24]

Answer: sec^4(x)-tan^4(x) = 1+2 x tan^2(x)

Step-by-step explanation:

7 0

3 years ago

1.9 An electronics store buys media from customers

Marina CMI [18]

The store pays $2 for each Blu-ray disc, $0.75 for each DVD, and

$0.1 for each VHS cassette

Step-by-step explanation:

An electronics store buys media from customers to resell.

The given is:

1. The store pays one customer $5.30 for one Blu-ray disc, four DVDs,

and three VHS cassettes

2. The store pays the second customer $11.50 for five Blu-ray discs

and two DVDs

3. The store pays the third customer $10.20 for two Blu- ray discs, eight

DVDs, and two VHS cassettes

We need to find the amount the store pays for each item

Assume that:

The cost of a Blue-ray disc is $x

The cost of a DVD is $y

The cost of a VHS cassette is $z

∴ x + 4y + 3z = 5.3 ⇒ (1)

∴ 5x + 2y = 11.5 ⇒ (2)

∴ 2x + 8y + 2z = 10.2 ⇒ ÷ 2

∴ x + 4y + z = 5.1 ⇒ (3)

- Subtract equation (3) from equation (1)

∵ x + 4y + 3z = 5.3 ⇒ (1)

∵ x + 4y + z = 5.1 ⇒ (3)

∴ 2z = 0.2

- Divide both sides by 2

∴ z = 0.1

Substitute the value of z in equation (3)

∴ x + 4y + 0.1 = 5.1

- Subtract 0.1 from both sides

∴ x + 4y = 5 ⇒ (4)

Let us solve equations (2) and (4)

∵ 5x + 2y = 11.5 ⇒ (2)

∵ x + 4y = 5 ⇒ (4)

- Multiply equation (2) by -2 to eliminate y

∴ -10x - 4y = -23 ⇒ (5)

- Add equations (4) and (5)

∴ -9x = -18

- Divide both sides by -9

∴ x = 2

- Substitute the value of x in equation (2)

∴ 5(2) + 2y = 11.5

∴ 10 + 2y = 11.5

- Subtract 10 from both sides

∴ 2y = 1.5

- Divide both sides by 2

∴ y = 0.75

The store pays $2 for each Blu-ray disc, $0.75 for each DVD, and

$0.1 for each VHS cassette

Learn more:

You can learn more about solving equations in brainly.com/question/9045597

#LearnwithBrainly

8 0

3 years ago

Find the integral of √(x² +4) W.R.T x

Allushta [10]

Answer:

$\frac{x}{2} *\sqrt{x^{2} +4}$ + $\frac{1}{2}$ *LN(| $\frac{x+\sqrt{x^{2} +4} }{2}$ |) +C

Step-by-step explanation:

we will have to do a trig sub for this

use x=a*tanθ for sqrt(x^2 +a^2) where a=2

x=2tanθ, dx= 2 sec^2 (θ) dθ

this turns $\int\limits {\sqrt{x^{2}+4 } } \, dx$ into integral(sqrt( [2tanθ]^2 +4) * 2sec^2 (θ) )dθ

the sqrt( [2tanθ]^2 +4) will condense into 2sec^2 (θ) after converting tan^2(θ) into sec^2(θ) -1

then it simplifies into integral(4*sec^3 (θ)) dθ

you will need to do integration by parts to work out the integral of sec^3(θ) but it will turn into (1/2)sec(θ)tan(θ) + (1/2) LN(|sec(θ)+tan(θ)|) +C

then you will need to rework your functions of θ back into functions of x

tanθ will resolve back into $\frac{x}{2}$ (see substitutions) while secθ will resolve into $\frac{\sqrt{x^{2} +4} }{2}$

sec(θ)= $\frac{\sqrt{x^{2} +4} }{2}$ is from its ratio identity of hyp/adj where the hyp. is $\sqrt{x^{2} +4}$ and adj is 2 (see tan(θ) ratio)

after resolving back into functions of x, substitute ratios for trig functions:

= $\frac{x}{2} *\sqrt{x^{2} +4}$ + $\frac{1}{2}$ *LN(| $\frac{x+\sqrt{x^{2} +4} }{2}$ |) +C

3 0

3 years ago